The solution of a class of linear recurrences with variable coefficients having two indices (Q2719674)
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scientific article; zbMATH DE number 1609860
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The solution of a class of linear recurrences with variable coefficients having two indices |
scientific article; zbMATH DE number 1609860 |
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25 June 2001
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inhomogeneous linear recurrence
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0.9507059
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0.9317347
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0.9213779
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0.9146471
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The solution of a class of linear recurrences with variable coefficients having two indices (English)
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Similar as in his previous paper [J. Wuhan Univ., Nat. Sci. Ed. 44, No. 5, 534-538 (1998; Zbl 0970.11002)], the author considers a class of linear recurrences of variable coefficients with two indices and, in addition, with an inhomogeneous term, which is as follows, NEWLINE\[NEWLINE\begin{cases} u_{i,j} =f(i,j)u_{i-1,j-1}+ g(i,j)u_{i-q,j -q}+h(i,j)\\ u_{i,0} =c_{i,0},u_{0,j} =c_{0,j} (i,j=0,1, \dots), \;u_{i,j}=0 (i<0 \text{ or }j<0) \end{cases} .NEWLINE\]NEWLINE Using the same function as in the previous paper, he gives its general solution.
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